x^2-21x+117=0

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Solution for x^2-21x+117=0 equation:


Simplifying
x2 + -21x + 117 = 0

Reorder the terms:
117 + -21x + x2 = 0

Solving
117 + -21x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-117' to each side of the equation.
117 + -21x + -117 + x2 = 0 + -117

Reorder the terms:
117 + -117 + -21x + x2 = 0 + -117

Combine like terms: 117 + -117 = 0
0 + -21x + x2 = 0 + -117
-21x + x2 = 0 + -117

Combine like terms: 0 + -117 = -117
-21x + x2 = -117

The x term is -21x.  Take half its coefficient (-10.5).
Square it (110.25) and add it to both sides.

Add '110.25' to each side of the equation.
-21x + 110.25 + x2 = -117 + 110.25

Reorder the terms:
110.25 + -21x + x2 = -117 + 110.25

Combine like terms: -117 + 110.25 = -6.75
110.25 + -21x + x2 = -6.75

Factor a perfect square on the left side:
(x + -10.5)(x + -10.5) = -6.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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